Pith Number

pith:MDF5KTMT

pith:2015:MDF5KTMTNHBU3BGSO5FHR45AGG

not attested not anchored not stored refs pending

Angular Fock coefficients. Fixing the errors, and further development

Evgeny Z. Liverts, Nir Barnea

arxiv:1505.02351 v1 · 2015-05-10 · physics.atom-ph · math-ph · math.MP · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDF5KTMTNHBU3BGSO5FHR45AGG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:16:19.039506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60cbd54d9369c34d84d2774a78f3a0319457fdc50a4874de2ec41b5e8abbcc59

Aliases

arxiv: 1505.02351 · arxiv_version: 1505.02351v1 · doi: 10.48550/arxiv.1505.02351 · pith_short_12: MDF5KTMTNHBU · pith_short_16: MDF5KTMTNHBU3BGS · pith_short_8: MDF5KTMT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MDF5KTMTNHBU3BGSO5FHR45AGG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 60cbd54d9369c34d84d2774a78f3a0319457fdc50a4874de2ec41b5e8abbcc59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "859e715c7d7f4e74283c8de33e9440620ea25b934160c37d9de7853f8b8732cc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2015-05-10T07:38:00Z",
    "title_canon_sha256": "5f292392ae464359b7a606630113f319e33fd220ac73c2d3bcc6f11d4bfe4d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02351",
    "kind": "arxiv",
    "version": 1
  }
}